hello
Can someone please help me with solving simultanaous equations using graphs
My problem is that i don't know how to plot them on the actal graph and nor I know how to plot the gradient withing this paticular situation
I need help with some steps please
MY IGCSE's are coming
thanx
I assume you are talking about linear (straight line) equations that can be written in the form y = mx + b
m is the slope or gradient. You don't plot it, but you can use it to plot each line on a graph. Start at the y-intercept (b) and draw a line with slope m.
The largest number of simultaneous equations that you can solve with graphing is two. The solution occurs where the lines intersect.
If you have three equations, you are really looking for a place where three planes intersect, and that is too hard to draw on a graph.
This website, with an actual graph, may explain the procedure for plotting a single equation better than I can with just words.
http://www.math.com/school/subject2/lessons/S2U4L3GL.html
whate
Hello! I'd be happy to help you with solving simultaneous equations using graphs.
To plot the graphs of two simultaneous equations, follow these steps:
Step 1: Write down the equations in the form y = mx + c.
- Make sure that both equations are in slope-intercept form (y = mx + c), where m is the gradient (slope) and c is the y-intercept.
Step 2: Select suitable values for x and calculate the corresponding values for y for each equation.
- Pick different values of x that will make the calculations simple.
- Use the equation to calculate the corresponding y-values for each x-value.
Step 3: Plot the points on the graph.
- On a graph paper, mark the points (x, y) for each equation.
- Once you have plotted a few points, you can draw a line connecting them.
Step 4: Repeat steps 2 and 3 for the second equation.
- Choose different x-values from the ones used for the first equation.
- Calculate the corresponding y-values for each x-value.
- Plot the points on the graph and draw the line connecting them.
Step 5: Analyze the graph to find the point(s) of intersection.
- Look for the point(s) where the two lines intersect.
- The coordinates of the intersection point(s) represent the solution(s) to the simultaneous equations.
- Note that if the lines are parallel, there will be no point of intersection, indicating that there is no solution.
Regarding finding the gradients on the graph:
- The gradient (slope) of a line can be determined by comparing the change in y to the change in x.
- Select two points on the line and use the formula: gradient (m) = change in y / change in x.
- The resulting value represents the slope of the line.
Remember to label your axes, indicate the scale, and give your graph a title.
Once you have plotted the graphs, you can use the point(s) of intersection to find the solutions to the simultaneous equations.
I hope these steps help you with solving simultaneous equations using graphs. Good luck with your IGCSEs! If you have any more questions, feel free to ask.